SOLUTION: How many ways can you divide a 20 x 30 rectangle into 3 equal areas? And what are the ways to do it?

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Question 375994: How many ways can you divide a 20 x 30 rectangle into 3 equal areas? And what are the ways to do it?
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
With those constraint we can imagine there are an infinite number of ways, except if the sub areas are rectangles too, which was not specified.
If the area have to have the same shape, there are 2 possibilities
the length divided by 3, 3 rectangle 1 times 2



the height divided by 3 : 3 rectangles 2/3 times 3



if they can be rectangles not forcedly the same, 2 more possibilities :
1 vertical, 2x3/4, and 2 horizontal 1x9/4



1 horizontal : 3x2/3, and 2 vertical : 3/2x4/3


if other shapes are allowed the number is infinite, like :
1 rectangle 2x4/3 and 2 triangles